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3 years ago

I. After how many weeks will Jennifer and William have the same amount of money in their bank accounts?

Mathematics

2 answers:

chubhunter [2.5K]3 years ago

7 0

Answer:

5 weeks

Step-by-step explanation:

Find the equation of willam's account:

1. find rate x1-x2

44-30 plug in

14 =rate 30=y-intercept starting valuse is always intercept

44+14=58 check

f(x)= 10x+50

f(x)= 14x+30 solve

10x+50=14x+30 set values together

20=4x subtract 10x and 30 from both sides

x=5

Natasha2012 [34]3 years ago

4 0

Answer:

5 weeks
$100

Step-by-step explanation:

<u>Jennifer's account:</u>

f(x) = 10x + 50

<u>William's account can be expressed as:</u>

g(x) = 14x + 30

Because the rate of change is 14 and y-intercept is 30

<u>They will be same after x years, f(x) = g(x)</u>

10x + 50 = 14x + 30
14x - 10x = 50 - 30
4x = 20
x = 5

The accounts will be same after 5 weeks

<u>The amount in the accounts after 5 weeks:</u>

f(5) = g(5) = 10*5 + 50 = $100

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